3.321   ODE No. 321

$$\boxed{{\displaystyle (2x^2{\left(y\left(x\right)\right)}^3+x^2{\left(y\left(x\right)\right)}^2-2x)\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)-2y\left(x\right)-1=0}}$$

1. Problem in Latex
2. Mathematica input
3. Maple input

Mathematica: cpu = 0.181023 (sec), leaf count = 47 $$\text{Solve}[\frac{1}{64}(-4y(x{)}^2+4y(x)-2\log (8y(x)+4)+3)-\frac{1}{4x(2y(x)+1)}=c_1,y(x)]$$

Maple: cpu = 0.125 (sec), leaf count = 42 $$\{y\left(x\right)=\frac{{\mathrm{e}}^{\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(x{\left({\mathrm{e}}^{\mathit{\_}\mathit{Z}}\right)}^3-4x{\left({\mathrm{e}}^{\mathit{\_}\mathit{Z}}\right)}^2+8\mathit{\_}\mathit{C}\mathit{1}x{\mathrm{e}}^{\mathit{\_}\mathit{Z}}+2\mathit{\_}\mathit{Z}x{\mathrm{e}}^{\mathit{\_}\mathit{Z}}+3x{\mathrm{e}}^{\mathit{\_}\mathit{Z}}+16)}}{2}-\frac{1}{2}\}$$